Elementary Linear Algebra

ISBN-10: 0131871412

ISBN-13: 9780131871410

Edition: 2nd 2008 (Revised)

List price: $209.80 Buy it from $70.67
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Description:

Ideal as a reference or quick review of the fundamentals of linear algebra, this book offers amatrix-oriented approach--with more emphasis on Euclidean n-space, problem solving, and applications, and less emphasis on abstract vector spaces. It features a variety of applications, boxed statements of important results, and a large number of numbered and unnumbered examples.Matrices, Vectors, and Systems of Linear Equations. Matrices and Linear Transformations. Determinants. Subspaces and Their Properties. Eigenvalues, Eigenvectors, and Diagonalization. Orthogonality. Vector Spaces. Complex Numbers.A professional reference for computer scientists, statisticians, and some engineers.
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Book details

List price: $209.80
Edition: 2nd
Copyright year: 2008
Publisher: Prentice Hall PTR
Publication date: 6/1/2007
Binding: Hardcover
Pages: 656
Size: 8.25" wide x 10.25" long x 1.25" tall
Weight: 3.190
Language: English

Preface
To the Student
Matrices, Vectors, and Systems of Linear Equations
Matrices and Vectors
Linear Combinations, Matrix-Vector Products, and Special Matrices
Systems of Linear Equations
Gaussian Elimination
Applications of Systems of Linear Equations
The Span of a Set of Vectors
Linear Dependence and Linear Independence
Review Exercises
MATLAB Exercises
Matrices and Linear Transformations
Matrix Multiplication
Applications of Matrix Multiplication
Invertibility and Elementary Matrices
The Inverse of a Matrix
Partitioned Matrices and Block Multiplication
The LU Decomposition of a Matrix
Linear Transformations and Matrices
Composition and Invertibility of Linear Transformations
Review Exercises
MATLAB Exercises
Determinants
Cofactor Expansion
Properties of Determinants
Review Exercises
MATLAB Exercises
Subspaces and their Properties
Subspaces
Basis and Dimension
The Dimension of Subspaces Associated with a Matrix
Coordinate Systems
Matrix Representations of Linear Operators
Review Exercises
MATLAB Exercises
Eigenvalues, Eigenvectors, and Diagonalization
Eigenvalues and Eigenvectors
The Characteristic Polynomial
Diagonalization of Matrices
Diagonalization of Linear Operators
Applications of Eigenvalues
Review Exercises
MATLAB Exercises
Orthogonality
The Geometry of Vectors
Orthogonal Vectors
Orthogonal Projections
Least-Squares Approximation and Orthogonal Projection Matrices
Orthogonal Matrices and Operators
Symmetric Matrices
Singular Value Decomposition
Principal Component Analysis
Rotations of R[superscript 3] and Computer Graphics
Review Exercises
MATLAB Exercises
Vector Spaces
Vector Spaces and Their Subspaces
Linear Transformations
Basis and Dimension
Matrix Representations of Linear Operators
Inner Product Spaces
Review Exercises
MATLAB Exercises
Appendices
Sets
Functions
Complex Numbers
MATLAB
The Uniqueness of the Reduced Row Echelon Form
Bibliography
Answers to Selected Exercises
Index
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